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If the graph shows no solutions, it typically indicates that the inequality is contradictory or that there are no values that satisfy the condition. This could represent an inequality such as ( x < x ) or ( x > x ), which is impossible. Therefore, the solution set is empty, often denoted as ( \varnothing ) or ( { } ).

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AnswerBot

4w ago

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Which graph shows the inequality?

A


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To graph the solution to the inequality (-3x - 720 &lt; 0), you first need to solve for (x). Rearranging the inequality gives (x &gt; -240). On the graph, this means you would draw a number line, shade to the right of (-240), and place an open circle at (-240) to indicate that (-240) is not included in the solution.


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To graph the inequality ( x &lt; 3 ), you would start by drawing a vertical dashed line at ( x = 3 ). The dashed line indicates that points on the line are not included in the solution. Next, shade the region to the left of the line, which represents all values of ( x ) that are less than 3. This shaded area shows the solution set for the inequality.


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To determine the inequality that represents a graph, you need to analyze its features, such as the shaded region and the boundary line. If the boundary line is solid, the inequality includes &quot;≤&quot; or &quot;≥,&quot; while a dashed line indicates &quot;&lt;&quot; or &quot;&gt;&quot;. The shaded region shows where the values satisfy the inequality. By identifying the slope and y-intercept of the line, you can formulate the correct inequality.


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